Abstract
Two kinds of methods are considered for the investigation of crystal growth systems. The homogenization method is used for simulating the shape of solidification front and its motion. The interface during growth is investigated for various values of the growing parameters (Ra, Pe, …). The spectral method is used for the analysis of the complex fluid dynamics in the melt phase (instability, bifurcation, time dependency …). The relevant instability and time-dependent regimes are studied and some effects of a magnetic field are presented for the control of convection.
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